Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	theorem		⊢
	proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
3	instantiation	24, 4	⊢
	: , : , :
4	instantiation	24, 5	⊢
	: , : , :
5	instantiation	24, 6	⊢
	: , : , :
6	instantiation	24, 7	⊢
	: , : , :
7	instantiation	18, 8, 9	⊢
	: , : , :
8	instantiation	24, 10	⊢
	: , : , :
9	instantiation	11, 12, 13, 14, 27, 15, 16, 17	⊢
	: , : , : , :
10	instantiation	18, 19, 20	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	instantiation	21	⊢
	: , : , :
15	instantiation	36, 30, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
17	instantiation	36, 30, 23	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	24, 25	⊢
	: , : , :
20	instantiation	26, 27	⊢
	:
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	instantiation	36, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
24	axiom		⊢
	proveit.logic.equality.substitution
25	theorem		⊢
	proveit.numbers.negation.negated_zero
26	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
27	instantiation	36, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	36, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	36, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2